WS.10

Analysing data

Indicative relationship: Activate 1 · Working Scientifically
KS3 science lesson

Analysing data

Lesson focus: Analysis turns measurements into a pattern that can answer the question.

Learning objective

Calculate a , identify a pattern and choose a suitable graph.

Build on earlier learning

Recording data

Revisit the difference between raw and processed data before analysing a pattern.

You will be successful when you can…

  • Calculate a mean from repeated measurements.
  • Select bar charts or scatter graphs appropriately.
  • Label axes, units and scales accurately.
  • Describe patterns and anomalies without assuming causation.
KEY VOCABULARY

Words that carry the science

mean
The sum of values divided by the number of values.
bar chart
A graph comparing separate categories using separated bars.
scatter graph
A graph plotting paired numerical values to examine a relationship.
line of best fit
A line or curve showing the overall trend rather than joining every point.
correlation
An association between two measured variables.
BUILD YOUR UNDERSTANDING

Turn results into a defensible pattern

01Summarise repeats honestly

Calculate a by adding the repeated values and dividing by their number. Show the raw data so variation remains visible.

Investigate an unexpected value before deciding whether exclusion is justified. Report any exclusion and, where possible, compare the conclusion with and without it.

02Choose the graph for the variable type

Use a for separate categories such as material type. Use a when both variables are numerical, such as temperature and time.

In a controlled investigation, put the independent variable on the x-axis and dependent variable on the y-axis. Label quantity, unit and a sensible even scale.

03Describe before explaining

Describe direction, shape and exceptions: “as temperature increased from 20 to 50 °C, time decreased from 93 s to 45 s”. Use data to show scale.

alone does not prove that one factor caused the other, especially in pattern-seeking studies with possible confounders.

A bar chart with separated bars compares the load three materials held before breaking. A scatter graph plots five paired measurements of ramp height and trolley time, with a decreasing line of best fit.Categories → bar chartTwo numbers → scatter graphABC010203040MaterialLoad before breaking / N010203040506001234Ramp height / cmTime / s
Figure · Illustrative data. Separated bars compare categories. Individual points compare paired numerical measurements; a line of best fit summarises the relationship without joining every point.
Graph choice

Classify the independent variable before selecting the display.

  1. Separate categories: material A, B and C; bars do not touch.
  2. Two numerical variables: temperature and time; plot paired coordinates.
  3. Change over ordered time may show a continuous time series when connecting values is meaningful.
  4. Distribution of one variableA dot plot or histogram may be suitable later; retain the raw values now.
Graph conventions support reasoning, but the most appropriate display depends on the question and data type.
Interactive model

Line of best fit and an anomaly

A ball is dropped from different heights and its bounce is measured. Move the line until it passes as close as possible to the points, with about as many above as below. One result does not fit the pattern.

020406080100Height / cmDrop 20 cmBounce 13 cm

Controls

0.40
The 60 cm result
How close is your line?average squared gap 175.0 cm²
Best gradient0.60 (bounce ≈ 60% of drop)

Results are illustrative. The anomaly (60 cm) is far below the line: repeat it rather than use it. Leaving it out moves the best line.

The bounce height rises in proportion to the drop height, except for one anomalous reading at 60 cm which is much too low.020406080100010203040506070AnomalyResults (illustrative)Your lineDrop height / cmBounce height / cm
WORKED EXAMPLE

Calculate and describe

At 30 °C, dissolving times are 73 s, 75 s and 74 s.

  1. Add the values: 73 + 75 + 74 = 222 s.
  2. Divide by three: 222 ÷ 3 = 74 s.
  3. Compare with other temperature means rather than judging one row alone.
  4. Describe the overall direction and quote endpoints or representative values.

How to make the reasoning visible: A calculated value supports analysis only when the calculation and comparison are visible.

LEARN BY DOING

Choose and interpret

Use the table to decide the graph and write an evidence-based description.

Temperature / °CMean dissolving time / s
2093
3074
4065.7
5045
6038
  1. Which type of graph should you draw for this data? Which variable goes on the x-axis (across the bottom)?

  2. Describe the pattern. Use two numbers from the table.

  3. Use the table to predict the mean dissolving time at 70 °C.

RETRIEVE · APPLY · CHECK

Check your understanding

Answer from memory, then check against the suggested answer.

How do you work out a mean?

When should you use a bar chart?

What does correlation mean?

When should you use a scatter graph or line graph?

What is a line of best fit?

Apply the idea

One point on a graph is far away from the others. What should the student do?

Stretch and challenge

Ice-cream sales and sunburn both go up in summer. Does ice cream cause sunburn? Explain.

Why should you describe a pattern before you explain it?

Exam Question Practice

WS.10Describe3 marks

Exam Question Practice

Mark points shown after marking

The mean reaction time is 84 s at 20 °C and 31 s at 50 °C. Describe the relationship. Use the data. Start: “As the temperature goes up, …”

(3)

Total for this question: 3 marks

Command word: For , say what the data show. You do not need to explain why.

Tick when you have worked through it. It shows on My progress and is saved on this device only.